On the powers of Voiculescu's circular element

Studia Mathematica

Volumn 145, Issue 1, 2001, Pages 85-95

  Oravecz, Ferenc ^a  

^a ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040971815     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm145-1-6     Document Type: Article

References (12)

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4. G. Kreweras, Sur les partitions non-croisées d'un cycle, Discrete Math. 1 (1972), 333-350.
5. F. Larsen, On the powers of R-diagonal elements, J. Operator Theory (to appear).
6. A. Nica, R-transform of free joint distributions and non-crossing partitions, J. Funct. Anal. 135, (1996), 271-296.
7. A. Nica and R. Speicher, R-diagonal pairs - a common approach to Haar unitaries and circular elements, in: Free Probability Theory, D. V. Voiculescu (ed.), Fields Inst. Comm. 12, Amer. Math. Soc., 1997, 149-188.
8. A. Nica, D. Shlyakhtenko and R. Speicher, Some minimization problems for the free analogue of Fisher information, Adv. Math. 141 (1999), 282-321.
9. R. Speicher, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Ann. 298 (1994), 611-628.
10. _, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory, Mem. Amer. Math. Soc. 627 (1998).
11. D. Voiculescu, Circular and semicircular systems and free product factors, in: Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory, A. Connes et al. (eds.), Birkhäuser, 1990, 45-60.
12. D. V. Voiculescu, K. J. Dykema and A. Nica, Free Random Variables, CRM Monograph Ser. 1, Amer. Math. Soc., 1992.